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Simplifying (3x + 5) + (3x + 4) + (3x) = (3x) + (3x) + (4x + 3) Reorder the terms: (5 + 3x) + (3x + 4) + (3x) = (3x) + (3x) + (4x + 3) Remove parenthesis around (5 + 3x) 5 + 3x + (3x + 4) + (3x) = (3x) + (3x) + (4x + 3) Reorder the terms: 5 + 3x + (4 + 3x) + (3x) = (3x) + (3x) + (4x + 3) Remove parenthesis around (4 + 3x) 5 + 3x + 4 + 3x + (3x) = (3x) + (3x) + (4x + 3) Reorder the terms: 5 + 4 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 3) Combine like terms: 5 + 4 = 9 9 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 3) Combine like terms: 3x + 3x = 6x 9 + 6x + (3x) = (3x) + (3x) + (4x + 3) Combine like terms: 6x + (3x) = 9x 9 + 9x = (3x) + (3x) + (4x + 3) Reorder the terms: 9 + 9x = (3x) + (3x) + (3 + 4x) Remove parenthesis around (3 + 4x) 9 + 9x = (3x) + (3x) + 3 + 4x Reorder the terms: 9 + 9x = 3 + (3x) + (3x) + 4x Combine like terms: (3x) + (3x) = 6x 9 + 9x = 3 + 6x + 4x Combine like terms: 6x + 4x = 10x 9 + 9x = 3 + 10x Solving 9 + 9x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 9x + -10x = 3 + 10x + -10x Combine like terms: 9x + -10x = -1x 9 + -1x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -1x = 3 + 0 9 + -1x = 3 Add '-9' to each side of the equation. 9 + -9 + -1x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 3 + -9 -1x = 3 + -9 Combine like terms: 3 + -9 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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